441001749375 has 640 divisors, whose sum is σ = 1004078592000. Its totient is φ = 188697600000.

The previous prime is 441001749361. The next prime is 441001749403. The reversal of 441001749375 is 573947100144.

It is a happy number.

441001749375 is a `hidden beast` number, since 4 + 4 + 100 + 174 + 9 + 375 = 666.

It is not a de Polignac number, because 441001749375 - 2²³ = 440993360767 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 441001749375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5582300586 + ... + 5582300664.

It is an arithmetic number, because the mean of its divisors is an integer number (1568872800).

Almost surely, 2^441001749375 is an apocalyptic number.

441001749375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

441001749375 is an abundant number, since it is smaller than the sum of its proper divisors (563076842625).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441001749375 is a wasteful number, since it uses less digits than its factorization.

441001749375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 441001749375 in words is "four hundred forty-one billion, one million, seven hundred forty-nine thousand, three hundred seventy-five".